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Answer:

**Answer:**

k = -2

**Step-by-step explanation:**

-5 + 7k = -19

7k = -14

k = -2

What the measure of a interior angle of a six sided figure

Which expression is equivalent to 3/ x^5y

A comet travels at an average speed of 233,000 km/h. It takes 7 days for the comet to reach Earth. Find the distance, in km, the comet travelled.

Find the value of y when x = -5

A circle has a radius of five an arc in the circle has a central angle of 162 what is the length of the arc enter an exact answer in terms of pie or use with 3.14 for pie and enter your answer as a decimal

Which expression is equivalent to 3/ x^5y

A comet travels at an average speed of 233,000 km/h. It takes 7 days for the comet to reach Earth. Find the distance, in km, the comet travelled.

Find the value of y when x = -5

A circle has a radius of five an arc in the circle has a central angle of 162 what is the length of the arc enter an exact answer in terms of pie or use with 3.14 for pie and enter your answer as a decimal

The **volume of a cone **is:

Here:

So, substituting into the formula:

The gum ball is spherical. so **the volume of a sphere** is:

Therefore:

Finally, the volume (V) of the cone that can be filled with flavored ice is:

Answer:

Figure out the various probabilities first, that will make the rest of the questions easier:

P(discovered) = .7

P(not discovered) = 1 - .7 = .3

P(locator|discovered) = .6

P(no locator|discovered) = 1 - .6 = .4

P(locator|not discovered) = 1 - .9 = .1

P(no locator|not discovered) = .9

P(discovered and locator) = .7 * .6 = .42

P(discovered and no locator) = .7 * .4 = .28

P(not discovered and locator) = .3 * .1 = .03

P(not discovered and no locator) = .3 * .9 = .27

a) The total probability that an aircraft has a locator is .42 + .03 = .45. So the probability it will not be discovered, given it has a locator, is .03/.45 = .067

b) The total probability that an aircraft does not have a locator is .28 + .27 = .55. So the probability it will be discovered, given it does not have a locator, is .28/.55 = .509

c) Probability that 7 are discovered = C(10,7) * P(discovered|locator)^7 * P(not discovered|locator)^3

We already figured out P(not discovered|locator) = .067, so P(discovered|locator) = 1-.067 = .933. C(10,7) = 10*9*8, so we can compute total probability: 10*9*8 * .933^7 * .067^3 = .133

Step-by-step explanation:

Determine the equation of the line of best fit. Write your answer in slope-intercept form. Any non-integers in this problem should be entered as decimal numbers. Round to three decimal places when necessary.

a) Yes the slope makes sense, as the players foot length gets larger, their overall height also increases signifying that there is a correlation between foot size and height.

b) The y-intercept occurs when the line "intercepts" the y-axis. It also makes sense because a player that has 25 cm in distance from heel to toe may very likely be 1.55 meters in height. This is probable.

c) The equation of any line is:

y=mx+b (m= slope, b= y-intercept)

The slope of this line can be found by locating two points where the line intersects. I will use points (25.5,1.6) and (26.25,1.7).

The formula to find the slope is (y(2)-y(1)) / (x(2)-x(1)) = m

1.7 - 1.6 / 26.25 - 25.5 = .1/.75 = .13333

This line crosses the y-intercept at about 1.55m

The equation of this line is:

y = .1333 x + 1.55

**Answer:**

y = 0.133x - 1.791

**Step-by-step explanation:**

The points (27, 1.8) and (27.75, 1.9) lie on the line of best fit. Use these points to find the slope:

m = y2 - y1 1.9 - 1.8 0.1

------------- = ----------------- = -------- = 0.133

x2 - x1 27.75 - 27 0.75

Plug the value of the slope into the equation of the line y = mx +b to get .

y = 0.133x + b

Substitute the point (27, 1.8) into the equation and solve for b:

1.8 = 0.133(27) + b

b = -1.791

Plug the value of b into the equation of the line of best fit to get:

y = 0.133x - 1.791

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**This answer came straight from the sample answer on Edmentum.com.**

**Answer:**

Domain: [-4, 4]

Range: [-3, 5]

Function? No

**Step-by-step explanation:**

Domain is all x-values that can be inputted in the graph that returns an output.

Range is all y-values that are outputted when *x* is inputted.

A function has to pass the Vertical Line Test.

to calculate approximately the amount or value of something is called estimate

In this context, g is the independent variable and u is the dependent variable.

Explanation:

A variable is classified as the independent variable if its value is being controlled or manipulated. Conversely, a variable is classified as the dependent variable if its value is being observed or measured. In this context, based on the given statements, it is clear that g is the independent variable and u is the dependent variable.

Therefore, the correct options are: g is the independent variable and u is the dependent variable.

**Answer:**

1) g is the dependent variable.(A)

2) u is the independent variable.(D)

**Step-by-step explanation:**